4(x+6)-5=3(x-1)+20

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Solution for 4(x+6)-5=3(x-1)+20 equation: 


Simplifying
4(x + 6) + -5 = 3(x + -1) + 20

Reorder the terms:
4(6 + x) + -5 = 3(x + -1) + 20
(6 * 4 + x * 4) + -5 = 3(x + -1) + 20
(24 + 4x) + -5 = 3(x + -1) + 20

Reorder the terms:
24 + -5 + 4x = 3(x + -1) + 20

Combine like terms: 24 + -5 = 19
19 + 4x = 3(x + -1) + 20

Reorder the terms:
19 + 4x = 3(-1 + x) + 20
19 + 4x = (-1 * 3 + x * 3) + 20
19 + 4x = (-3 + 3x) + 20

Reorder the terms:
19 + 4x = -3 + 20 + 3x

Combine like terms: -3 + 20 = 17
19 + 4x = 17 + 3x

Solving
19 + 4x = 17 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.
19 + 4x + -3x = 17 + 3x + -3x

Combine like terms: 4x + -3x = 1x
19 + 1x = 17 + 3x + -3x

Combine like terms: 3x + -3x = 0
19 + 1x = 17 + 0
19 + 1x = 17

Add '-19' to each side of the equation.
19 + -19 + 1x = 17 + -19

Combine like terms: 19 + -19 = 0
0 + 1x = 17 + -19
1x = 17 + -19

Combine like terms: 17 + -19 = -2
1x = -2

Divide each side by '1'.
x = -2

Simplifying
x = -2

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